Scholarlink

<p>In this paper, we state the so-called Bourgain–Brezis–Mironescu formula in the setting of magnetic fractional Sobolev spaces with variable exponents. To the best of our knowledge, this is the first time that these spaces are considered. We also show that, unlike the constant-power case, there are functions in the limiting space for which the BBM formula does not hold. Moreover, we define a generalization of the Schrödinger operator related to the magnetic energy functional with variable exponents.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Bourgain–Brezis–Mironescu formula for magnetic fractional Sobolev spaces with variable exponents

  • 期刊论文

  • 发表日期：

    2026年2月24日

查看全文
  • Rosa Lorenzo,
  • Pablo Ochoa,
  • Analía Silva

摘要

In this paper, we state the so-called Bourgain–Brezis–Mironescu formula in the setting of magnetic fractional Sobolev spaces with variable exponents. To the best of our knowledge, this is the first time that these spaces are considered. We also show that, unlike the constant-power case, there are functions in the limiting space for which the BBM formula does not hold. Moreover, we define a generalization of the Schrödinger operator related to the magnetic energy functional with variable exponents.